• Title/Summary/Keyword: Double Sequences

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On Paranormed Type Fuzzy Real Valued Class of Sequences 2F(p)

  • Sen, Mausumi;Roy, Santanu
    • Kyungpook Mathematical Journal
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    • v.51 no.3
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    • pp.345-352
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    • 2011
  • In this article we introduce the fuzzy real valued double sequence spaces $_2{\ell}^F$ (p) where p = ($p_{nk}$) is a double sequence of bounded strictly positive numbers. We study their different properties like completeness, solidness, symmetricity, convergence free etc. We prove some inclusion results also.

Multiple Case Marking Constructions in Korean Revisited

  • Ryu, Byong-Rae
    • Language and Information
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    • v.17 no.2
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    • pp.1-27
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    • 2013
  • This paper presents a unified approach to multiple nominative and accusative constructions in Korean. We identify 16 semantic relations holding between two consecutive noun phrases (NPs) in multiple case marking constructions, and propose each semantic relation as a licensing condition on double case marking. We argue that the multiple case marking constructions are merely the sequences of double case marking, which are formed by dextrosinistrally sequencing the pairs of the same-case marked NPs of same or different type. Some appealing consequences of this proposal include a new comprehensive classification of the sequences of same-case NPs and a straightforward account of some long standing problems such as how the additional same-case NPs are licensed, and in what respects the multiple nominative marking and the multiple accusative marking are alike and different from each other.

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WIJSMAN LACUNARY IDEAL INVARIANT CONVERGENCE OF DOUBLE SEQUENCES OF SETS

  • Dundar, Erdinc;Akin, Nimet Pancaroglu
    • Honam Mathematical Journal
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    • v.42 no.2
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    • pp.345-358
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    • 2020
  • In this paper, we study the concepts of Wijsman lacunary invariant convergence, Wijsman lacunary invariant statistical convergence, Wijsman lacunary ${\mathcal{I}}_2$-invariant convergence (${\mathcal{I}}^{{\sigma}{\theta}}_{W_2}$), Wijsman lacunary ${\mathcal{I}}^*_2$-invariant convergence (${\mathcal{I}}^{\ast}^{{\sigma}{\theta}}_{W_2}$), Wijsman p-strongly lacunary invariant convergence ([W2Nσθ]p) of double sequence of sets and investigate the relationships among Wijsman lacunary invariant convergence, [W2Nσθ]p, ${\mathcal{I}}^{{\sigma}{\theta}}_{W_2}$ and ${\mathcal{I}}^{\ast}^{{\sigma}{\theta}}_{W_2}$. Also, we introduce the concepts of ${\mathcal{I}}^{{\sigma}{\theta}}_{W_2}$-Cauchy double sequence and ${\mathcal{I}}^{\ast}^{{\sigma}{\theta}}_{W_2}$-Cauchy double sequence of sets.

Paranormed I-convergent Double Sequence Spaces Associated with Multiplier Sequences

  • Tripathy, Binod Chandra;Sen, Mausumi
    • Kyungpook Mathematical Journal
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    • v.54 no.2
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    • pp.321-332
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    • 2014
  • In this article we introduce different types of multiplier I-convergent double sequence spaces. We study their different algebraic and topological properties like solidity, symmetricity, completeness etc. The decomposition theorem is established and some inclusion results are proved.

On Optimal PN Code Acquisition (최적화된 PN Code Acquisition에 대한 연구)

  • Jang, U-Jin
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.23-25
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    • 1998
  • Many of the currently used PN code acquisition algorithms detect the phase of the incoming PN signal on the basis of ML estimation principle and utilize statistics grounded in taking inner products. By showing that any set of 2n-1 PN sequences arising in SSRG or MSRG (those typically used in IS'95 implementations) configuration constitutes a linearly independent set and that the number of candidate PN sequences has to equal the dimension of the span of the candidate PN sequences, we prove that the lowerbounding computational complexity involved in any PN code acquistion, utilizing (only) inner product computations at each stage of acquisition, corresponds precisely to those, such as double dwell acquistion circuitries, currently used.

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Synchronization Sequency Design for Digital Cellular Mobile Communications (디지틀 셀룰러 이동통신을 위한 동기 부호 설계)

  • 한영일
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.10A
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    • pp.1480-1485
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    • 2000
  • This paper presents an efficient synchronization sequency design for the digital cellular telephone. The class of synchronization sequences studied in this paper are sequences for synchronization that have the lowest out-of-phase values of the autocorrelation function with the two peak values equal in magnitude and opposite in polarity at zero and middle shifts. These synchronization sequences can be used to double-check synchronization timing and reduce the synchromication search time.

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PLP-1 Binds Nematode Double-stranded Telomeric DNA

  • Im, Seol Hee;Lee, Junho
    • Molecules and Cells
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    • v.20 no.2
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    • pp.297-302
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    • 2005
  • The integrity and proper functioning of telomeres require association of telomeric DNA sequences with specific binding proteins. We have characterized PLP-1, a $PUR{\alpha}$ homolog encoded by F45E4.2, which we previously identified as a candidate double stranded telomere binding protein, by affinity chromatography followed by mass spectrometry. PLP-1 bound double-stranded telomeric DNA in vitro as shown by competition assays. Core binding was provided by the third and fourth nucleotides of the TTAGGC telomeric repeat. This is quite different from the binding sequence of CEH-37, another C. elegans telomere binding protein, suggesting that multiple proteins may bind nematode telomeric DNA simultaneously in vivo.

Long Double-stranded RNA Induces Sequence-specific RNA Interference and Type I Interferon Responses in Rock Bream (Oplegnathus fasciatus)

  • Zenke, Kosuke;Kim, Ki-Hong
    • Fisheries and Aquatic Sciences
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    • v.13 no.1
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    • pp.56-62
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    • 2010
  • To determine whether long double-stranded RNA (dsRNA) induces RNA interference and type I interferon (IFN) responses in fish, long dsRNAs encoding enhanced green fluorescent protein (EGFP), GFPuv, and polyinosinic-polycytidylic acid sequences were co-injected with an EGFP expressing plasmid, into rock bream (Oplegnathus fasciatus). We investigated the EGFP mRNA and protein levels, and the transcriptional responses of dsRNA-dependent protein kinase and Mx1 genes. Long dsRNAs were strong inducers of a type I IFN response in rock bream, resulting in nonspecific suppression of exogenous gene expression. Furthermore, sequence-specific knockdown of exogenous gene expression at the mRNA level was detected at an early phase (24 h). These results suggested that long dsRNA may inhibit exogenous gene expression through an early mRNA interference response and a later type I IFN response in fish.

Effects of consecutive earthquakes on increased damage and response of reinforced concrete structures

  • Amiri, Gholamreza Ghodrati;Rajabi, Elham
    • Computers and Concrete
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    • v.21 no.1
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    • pp.55-66
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    • 2018
  • A large main shock may consist of numerous aftershocks with a short period. The aftershocks induced by a large main shock can cause the collapse of a structure that has been already damaged by the preceding main shock. These aftershocks are important factors in structural damages. Furthermore, despite what is often assumed in seismic design codes, earthquakes do not usually occur as a single event, but as a series of strong aftershocks and even fore shocks. For this reason, this study investigates the effect and potential of consecutive earthquakes on the response and behavior of concrete structures. At first, six moment resisting concrete frames with 3, 5, 7, 10, 12 and 15 stories are designed and analyzed under two different records with seismic sequences from real and artificial cases. The damage states of the model frames were then measured by the Park and Ang's damage index. From the results of this investigation, it is observed that the sequences of ground motions can almost double the accumulated damage and increased response of structures. Therefore, it is certainly insufficient to ignore this effect in the design procedure of structures. Also, the use of artificial seismic sequences as design earthquake can lead to non-conservative prediction of behavior and damage of structures under real seismic sequences.